GCD of 688, 636, 648, 678 Calculator

Given Input numbers are 688, 636, 648, 678

In the factoring method, we have to find the divisors of all numbers

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (688, 636, 648, 678) = 2.

Given numbers are 688, 636, 648, 678

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹

Therefore, GCD of 688, 636, 648, 678 is 2.

Given numbers are 688, 636, 648, 678

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(688, 636) = 109392

GCD(688, 636) = ( 688 x 636 ) / 109392

= 688 / 636

= 688

Step2:

LCM(4, 648) = 648

GCD(4, 648) = ( 4 x 648 ) / 648

= 4 / 648

= 4

Step3:

LCM(4, 678) = 1356

GCD(4, 678) = ( 4 x 678 ) / 1356

= 4 / 678

= 4

So, Greatest Common Divisor of 688, 636, 648, 678 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 765, 426, 630
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Given numbers are 688, 636, 648, 678
The greatest common divisor of numbers 688, 636, 648, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 636, 648, 678 is 2.

1. What is the GCD of 688, 636, 648, 678?

GCD of given numbers 688, 636, 648, 678 is 2

2. How to calculate the greatest common divisor of 688, 636, 648, 678?

We can find the highest common divisor of 688, 636, 648, 678 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 688, 636, 648, 678 i.e 2.

3. How can I use the GCD of 688, 636, 648, 678Calculator?

Out the numbers 688, 636, 648, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.